Inverse Problems Related to Ion Channels

Event Sponsor: 
Mathematics and Computer Science Division Seminar
Start Date: 
Feb 12 2008 (All day)
Building/Room: 
Building 221 Conference Room A216
Location: 
Argonne National Laboratory
Speaker(s): 
Kattrin Arning
Speaker(s) Title: 
University of Linz and Johann Radon Institute for Computational and Applied Mathematics, Linz, Austr
Host: 
Matt Knepley

Ion channels are proteins with a hole down their middle that allow ions to move across otherwise impermeable cell membranes, thereby controlling many important physiological functions, such as conducting electrical signals down nerve fibres and initiating muscle contraction.

We look at mathematical models describing the ion transport process through membrane channels. One important class of models is based on the Poisson-Nernst-Planck equations, a set of partial differential equations. Starting from this model we derive a simplified surrogate model to approximate current-voltage relationships and furthermore investigate inverse problems related to the structure of the underlying channel. Numerical examples will be given using a one-dimensional approximation of the system.

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